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In the diagram, if m∠D = 70 degrees find m∠F.

A)35 degrees
B)70 degrees
C)110 degrees
D)140 degrees ...?

User Pindakaas
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2 Answers

6 votes
I believe, if I am not wrong, that the answer you are looking for will be C. 110 degrees. Because we are talking about and angle. Angle degrees when it comes to these diagrams:90 Degrees (which makes a Right Angle) anything less makes an Acute Angle, anything greater than a Right Angle makes an Obtuse Angle the total degrees it can sum up to will be 180 (remember : 90+90) unless you are doing a whole circle which I doubt it from the question) It cant be 35 because 70 + 35 is 95, the question doesn't even let us know what king of angle it is so my guesses are to try to add up to the exact possible angles= 90, 180. The answer cannot be 70 because the total will be 140, and that does not add up to an exact possible angle 110 + 70 make up a 180 degree. which I believe will be your answer.



User David Murdoch
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2 votes
For the question above, a diagram should also be associated with it. Based on my research, here is what I got.

DEFG is a cyclic quadrilateral, so sum of angles D and F must be 180.

m∠D = 70

m∠F = m∠DF - m∠D
m∠F = 180 - 70
m∠F = 110

I hope this answer helps.
User Tom Gilder
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